论文信息 - Characterizing a family of elusive permutation groups

Characterizing a family of elusive permutation groups

Abstract A finite transitive permutation group is said to be elusive if it has no fixed-point free elements of prime order. In this paper we show that all elusive groups G = N ⋊ G 1 with N an elementary abelian minimal normal subgroup and G 1 cyclic, can be constructed from transitive subgroups of AGL(1, p 2), for p a Mersenne prime, acting on the set of p(p + 1) lines of the affine plane AG(2, p).

Michael Giudici | Shane Kelly

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